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252033132045 = 35101419397037
BaseRepresentation
bin1110101010111001011…
…0000110011000001101
3220002112121210122222010
43222232112012120031
513112130440211140
6311441000411433
724131421163302
oct3525626063015
9802477718863
10252033132045
1197983150472
1240a19476b79
131a9c73669c6
14c2ac8530a9
156851573880
hex3aae58660d

252033132045 has 32 divisors (see below), whose sum is σ = 408218590080. Its totient is φ = 132768838400.

The previous prime is 252033132019. The next prime is 252033132089. The reversal of 252033132045 is 540231330252.

252033132045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252033132045 - 26 = 252033131981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436267 + ... + 833303.

It is an arithmetic number, because the mean of its divisors is an integer number (12756830940).

Almost surely, 2252033132045 is an apocalyptic number.

It is an amenable number.

252033132045 is a deficient number, since it is larger than the sum of its proper divisors (156185458035).

252033132045 is a wasteful number, since it uses less digits than its factorization.

252033132045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397565.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 252033132045 its reverse (540231330252), we get a palindrome (792264462297).

The spelling of 252033132045 in words is "two hundred fifty-two billion, thirty-three million, one hundred thirty-two thousand, forty-five".

Divisors: 1 3 5 15 101 303 419 505 1257 1515 2095 6285 42319 126957 211595 397037 634785 1191111 1985185 5955555 40100737 120302211 166358503 200503685 499075509 601511055 831792515 2495377545 16802208803 50406626409 84011044015 252033132045